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Year 8 Equation Word Problems Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the Year 8 linear equations worksheet.

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear Equations

Year 8 Equation Word Problems Worksheet — Level 2 — Answers

For each problem, choose a letter for the unknown, write an equation, solve it, and check your answer in the words of the problem.

1.Ruby thinks of a number, multiplies it by 3 and then adds 10. The answer is 52. Write an equation and find the number.

Answer: 14

  1. Let the number be n: 3n + 10 = 52
  2. 3n = 42
  3. n = 14
2.A rectangle is 10 cm longer than it is wide. Its perimeter is 28 cm. Find its width and length.

Answer: width 2 cm, length 12 cm

  1. 2(w + w + 10) = 28
  2. 4w + 20 = 28
  3. w = 2, so length = 12
3.Max thinks of a number, subtracts 4 and multiplies the result by 3. The answer is 36. What was the number?

Answer: 16

  1. 3(n − 4) = 36
  2. n − 4 = 12
  3. n = 16
4.Ruby thinks of a number, multiplies it by 3 and then adds 12. The answer is 18. Write an equation and find the number.

Answer: 2

  1. Let the number be n: 3n + 12 = 18
  2. 3n = 6
  3. n = 2
5.A rectangle is 6 cm longer than it is wide. Its perimeter is 72 cm. Find its width and length.

Answer: width 15 cm, length 21 cm

  1. 2(w + w + 6) = 72
  2. 4w + 12 = 72
  3. w = 15, so length = 21
6.Mason thinks of a number, multiplies it by 5 and then adds 2. The answer is 12. Write an equation and find the number.

Answer: 2

  1. Let the number be n: 5n + 2 = 12
  2. 5n = 10
  3. n = 2
7.A rectangle is 7 cm longer than it is wide. Its perimeter is 74 cm. Find its width and length.

Answer: width 15 cm, length 22 cm

  1. 2(w + w + 7) = 74
  2. 4w + 14 = 74
  3. w = 15, so length = 22
8.Isla thinks of a number, subtracts 2 and multiplies the result by 3. The answer is 15. What was the number?

Answer: 7

  1. 3(n − 2) = 15
  2. n − 2 = 5
  3. n = 7
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